Mathematics

$$\displaystyle\int^{1}_{-1}x^3(1-x^2)dx=?$$


ANSWER

$$0$$


SOLUTION
View Full Answer

Its FREE, you're just one step away


Single Correct Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 105
Enroll Now For FREE

Realted Questions

Q1 Single Correct Hard
$$\displaystyle \int {\dfrac{dx}{\sin^2x \cos^2x}}$$
  • A. $$\tan x-x+1$$
  • B. $$\tan x-x$$
  • C. $$\tan x+x$$
  • D. $$\tan x-\cot x+c$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Single Correct Medium
$$\displaystyle \int\dfrac{dx}{(x + 100)\sqrt{x + 99}} = f(x) + c \Longrightarrow f(x) =$$
  • A. $$2(x + 100)^{1/2}$$
  • B. $$3(x + 100)^{1/2}$$
  • C. $$2 \tan^{-1}(\sqrt{x + 100})$$
  • D. $$2 \tan^{-1}(\sqrt{x + 99})$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Multiple Correct Hard
If $$\displaystyle \int \frac {xe^x}{\sqrt {1 + e^x}} dx = f(x) \sqrt {1 + e^x} -2 \log \: g(x) + C$$, then
  • A. $$\displaystyle f(x) = x - 1$$
  • B. $$\displaystyle g(x) = \frac {\sqrt {1 + e^x} + 1}{\sqrt {1 + e^x} - 1}$$
  • C. $$\displaystyle g(x) = \frac {\sqrt {1 + e^x} - 1}{\sqrt {1 + e^x} + 1}$$
  • D. $$\displaystyle f(x) = 2(x - 2)$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Subjective Medium
Evaluate the following integral:
$$\displaystyle \int { \cfrac { 2x-1 }{ { \left( x-1 \right)  }^{ 2 } }  } dx\quad \quad $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Medium
$$\int {\dfrac {\cos 2x}{\sin x}}dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer